Solve 7/9*(22/7*14*14)

$$\frac{ 7 }{ 9 } \times ( \frac{ 22 }{ 7 } \times 14 \times 14)$$

Evaluate

$$\frac{4312}{9}\approx 479.111111111$$

Solution Steps

Multiply \frac{7}{9} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 22}{9\times 7}\times 14\times 14$$

Cancel out 7 in both numerator and denominator.

$$\frac{22}{9}\times 14\times 14$$

Express \frac{22}{9}\times 14 as a single fraction.

$$\frac{22\times 14}{9}\times 14$$

Multiply 22 and 14 to get 308.

$$\frac{308}{9}\times 14$$

Express \frac{308}{9}\times 14 as a single fraction.

$$\frac{308\times 14}{9}$$

Multiply 308 and 14 to get 4312.

$$\frac{4312}{9}$$

Factor

$$\frac{2 ^ {3} \cdot 7 ^ {2} \cdot 11}{3 ^ {2}} = 479\frac{1}{9} = 479.1111111111111$$